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Squares which are palindromes in base 14.
11

%I #12 Aug 11 2024 14:41:30

%S 0,1,4,9,225,576,900,2209,27225,38809,44521,50625,57121,155236,166464,

%T 178084,4796100,5978025,7535025,8732025,10017225,30140100,32490000,

%U 73359225,1475865889,1490963769,1506138481,1521390025

%N Squares which are palindromes in base 14.

%H Vincenzo Librandi, <a href="/A030074/b030074.txt">Table of n, a(n) for n = 1..57</a>

%H P. De Geest, <a href="https://www.worldofnumbers.com/square.htm">Palindromic Squares</a>

%t pb14Q[n_]:=Module[{idn14=IntegerDigits[n, 14]}, idn14==Reverse[idn14]]; Select[Range[0, 20000]^2, pb14Q] (* _Vincenzo Librandi_, Jul 24 2014 *)

%Y Cf. A002779, A029734, A029738, A029806, A029983, A029985, A029987, A029989, A029991, A029993, A029995, A029997, A029999, A030075.

%K base,nonn

%O 1,3

%A _Patrick De Geest_